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Finding the Fourth Proportional to 1,745.38, 2,617.80 and 1,648.99

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Solution

The fourth proportional to 1,745.38, 2,617.80 and 1,648.99 is: 2,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.38 : 2,617.80 = 1,648.99 : x
  2. Step 2: Convert to fraction form
    1,745.38/2,617.80 = 1,648.99/x
  3. Step 3: Cross multiply
    1,745.38x = 2,617.80 × 1,648.99
  4. Step 4: Simplify right side
    1,745.38x = 4,316,726.02
  5. Step 5: Solve for x
    x = 4,316,726.02/1,745.38
  6. Step 6: Final answer
    x = 2,473.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.